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math.CO2019
Bounds for the rank of a complex unit gain graph in terms of the independence number
Shengjie He, Rong-Xia Hao, Aimei Yu
A complex unit gain graph (or -gain graph) is a triple ( for short) consisting of a graph as the underlying graph of , $\math…
math.CO2019
On the inertia index of a mixed graph with the matching number
Shengjie He, Rong-Xia Hao, Aimei Yu
A mixed graph is obtained by orienting some edges of , where is the underlying graph of . The positive inertia index, denoted by , a…
math.CO2017★ 3 cited
On extremal cacti with respect to the edge Szeged index and edge-vertex Szeged index
Shengjie He, Rong-Xia Hao, Aimei Yu
The edge Szeged index and edge-vertex Szeged index of a graph are defined as and $Sz_{ev}(G)=\frac{1}{2} \sum\limits_{uv…